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Finding the Third Proportional to 84,375.13 and 178,234.88

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Solution

The third proportional to 84,375.13 and 178,234.88 is: 376,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,375.13 : 178,234.88 = 178,234.88 : x
  2. Step 2: Convert to fraction form
    84,375.13/178,234.88 = 178,234.88/x
  3. Step 3: Cross multiply
    84,375.13x = 178,234.88 × 178,234.88
  4. Step 4: Simplify right side
    84,375.13x = 31,767,670,666.27
  5. Step 5: Solve for x
    x = 31,767,670,666.27/84,375.13
  6. Step 6: Final answer
    x = 376,505.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.